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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
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Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate Understanding the Role of Partial Derivatives in Calculus of Variations
  • samgrace
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2
What is the process to solve \sqrt{x}+\sqrt{y}=5 for the point (4,9)?
  • riri
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1
Graduate Differentiating Under Integral Sign
  • iggyonphysics
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7
Undergrad Is there a generalized curl operator for dimensions higher than 3?
  • Jianphys17
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6
Undergrad How to Write Vectors in Spherical Coordinates for Scalar Product Evaluation
  • Ki-nana18
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1
Trigonometric sum with a product as the argument
  • Greg
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2
Undergrad What Happens to dx in Integration?
  • 15adhami
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38
Undergrad Understanding the Chain Rule: (df/dx) + (df/dy)* (dy/dx)
  • Joseph1739
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1
Graduate Puiseux/Taylor Expansion of an Integrand pre-Integration
  • Hepth
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11
Graduate Where can I find references for Continuous Wave Transform?
  • Ronie Bayron
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3
Undergrad What is the limit of x^(1/log(x)) as x approaches infinity?
  • Joseph1739
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10
Undergrad Can Every Indeterminate Form Be Evaluated?
  • darkchild
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4
Undergrad Draw the graph of arctan((x-1)/(x+1))
  • kolua
  • · Replies 18 ·
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18
Graduate Regarding Schwartz inequality and integration bounds
  • p4wp4w
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4
Logarithmic Integral Calc: $$\int_{0}^{1}\ln\left(1+\sqrt{1-x^2}\right)dx$$
  • juantheron
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3
How to solve certain kind of integral
  • ariberth
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3
Undergrad Prove e^ln(a)*b = a^b: Intuitive Proof
  • Wanted
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4
Graduate Is the Limit of a Function at a Point Always Unique?
  • Alpharup
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28
Graduate How Does the Curl of Current Density Derive This Expression?
  • TheCanadian
  • · Replies 1 ·
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1
Integral substitution for a polynomial function
  • karush
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4
Undergrad Proof for {lim of exp = exp of lim}
  • DocZaius
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8
Undergrad Can Trig Substitution with Cosine be Used Instead of Sine?
  • UMath1
  • · Replies 6 ·
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6
Graduate Fourier transform with complex variables
  • naima
  • · Replies 6 ·
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6
Graduate What Is the Role of Divergence in Vector Calculus?
  • Physgeek64
  • · Replies 5 ·
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5
Integral $$\sin^7\left({x}\right)$$ from -1 to 1: Solution Explained
  • karush
  • · Replies 7 ·
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7
Undergrad How can Arctan and ln be used to simplify the integral of (x+1)/(x^2+4x+5)?
  • TheTimeTraveler
  • · Replies 5 ·
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5
Undergrad Limit of and Sin(9x)/x and 1/Cos(9x)
  • Drakkith
  • · Replies 3 ·
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3
Integrating $\cos(u)\cos(\sin(u))$
  • karush
  • · Replies 4 ·
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4
Calculation of a surface integral
  • mathmari
  • · Replies 6 ·
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6
Graduate Surface area of a spherical cap by integration
  • Moana
  • · Replies 1 ·
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1
Undergrad Integral Equations curiosity question
  • Andreol263
  • · Replies 3 ·
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3
Solving for d^2y/dt^2: Finding d^2y/dt^2 with dx/dt=1/2
  • riri
  • · Replies 1 ·
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1
Help on Related Rates implicit differentiation
  • riri
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5
Graduate Solving Divergence Problem of $\vec{B}(x,y,z)$
  • Dopplershift
  • · Replies 3 ·
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3
Graduate Deriving B.31 in PDF on Squared-Angular Momentum
  • TheCanadian
  • · Replies 3 ·
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3
Real Valued Functions on R^3 - Chain Rule ....?
  • Math Amateur
  • · Replies 1 ·
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1
Graduate Is there a closed form for this?
  • EngWiPy
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8
Graduate How to Differentiate an Integral Involving a Probability Density Function?
  • EngWiPy
  • · Replies 25 ·
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25
Undergrad Discover the Limit of x^2 as x Approaches Infinity | Calculate with Ease
  • askor
  • · Replies 3 ·
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3
Please help me find Fourier series mistake
  • ognik
  • · Replies 3 ·
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3
Undergrad Can someone explain the Taylor's Theorem error bound?
  • A.MHF
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4
Undergrad Infinite series as the limit of its sequence of partial sums
  • Fellowroot
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3
Graduate Help with difficult (?) integration
  • lavoisier
  • · Replies 2 ·
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2
Please check Cauchy Integral Formula excercise
  • ognik
  • · Replies 1 ·
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1
Integrating Fouries series problem
  • ognik
  • · Replies 1 ·
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1
Please check this convergence test
  • ognik
  • · Replies 12 ·
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12
Graduate An inconsistent conservative vector field
  • riemannsigma
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5
Graduate General Solution from Particular Solution
  • Just_some_guy
  • · Replies 1 ·
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1
Graduate Impossible Integration involving cosx/sqrt(a-bcosx)
  • flux!
  • · Replies 4 ·
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4
Graduate Will epsilon delta test fail if curve changed direction?
  • AutumnWater
  • · Replies 19 ·
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19
Graduate Do I need to integrate twice for calculating velocity in Kerbal Space Program?
  • iknowsigularity
  • · Replies 3 ·
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3
Undergrad Double Integrals: Interchangeability and Improper Integration Explained
  • haha1234
  • · Replies 7 ·
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7
Graduate Euler Lagrange Derivation (Taylor Series)
  • bananabandana
  • · Replies 6 ·
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6
Undergrad Summing a Function Value Over an Interval
  • mwspice
  • · Replies 10 ·
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10
Graduate How to Optimize a Functional with Nested Integrals in Calculus of Variations?
  • phi1123
  • · Replies 5 ·
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5
Are local min/max of a cubic function determined by the zeros alone?
  • karush
  • · Replies 3 ·
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3
Analyzing $f(z) = e^{-\frac{1}{z}}$: Analytic Region & Derivative
  • ognik
  • · Replies 5 ·
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5
How Does the Function $f(x) = \frac{1}{g(x)}$ Behave?
  • karush
  • · Replies 1 ·
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1
Undergrad Finding Volumes of Sphere & Circular Cone: Alpha from 0 to Pi
  • MaryCatherine
  • · Replies 3 ·
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3
Please check this convergence test (#2)
  • ognik
  • · Replies 2 ·
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2
Graduate How Can One Solve This Complex Trigonometric Integral Analytically?
  • Rmehtany
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4
Limit of (sqrt(16x^4+64x^2)) /(2x^2_4)
  • karush
  • · Replies 2 ·
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2
Graduate The rigor of using differentials in line elements
  • axmls
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5
Graduate Approximation with small parameter
  • avikarto
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2
Why iπ in Contour Integration for Improper Integral Involving ln?
  • jacobi1
  • · Replies 11 ·
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11
Undergrad Solving a Recurrence Relation Using Induction: Step-by-Step Guide
  • bubblewrap
  • · Replies 11 ·
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11
Undergrad Unpacking the Implication of a Formula: n=2
  • bubblewrap
  • · Replies 3 ·
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3
Undergrad Unusual Limit: Understanding the Discrepancy in the Integral of xe^-x
  • flux!
  • · Replies 2 ·
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2
Graduate Can Complex Derivatives Clarify Div and Curl Properties?
  • Mappe
  • · Replies 1 ·
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1
Finding the Spherical Polar Fourier Transform with Variable Change
  • ognik
  • · Replies 4 ·
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4
Undergrad Converging Series: Comparison Test w/ 1/n^2
  • REVIANNA
  • · Replies 2 ·
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2
Undergrad How to Solve Limits Involving Square Roots and Infinity?
  • askor
  • · Replies 14 ·
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14
Undergrad Integration where am I going wrong?
  • fuofa
  • · Replies 4 ·
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4
Undergrad Understanding Limits - Spivak Calculus
  • Sirsh
  • · Replies 4 ·
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4
Understanding R-1/R and its Equivalence
  • Harry2
  • · Replies 2 ·
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2
Graduate Geometric proof cross product distributes over addition
  • Odious Suspect
  • · Replies 16 ·
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16
Graduate Spivak Thomae's Function proof explanation
  • Alpharup
  • · Replies 35 ·
2
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35
Solving 3r(r+1)=r(r+1)(r+2)-r(r-1)(r+1) and Finding r(r+1) Sum
  • Harry2
  • · Replies 3 ·
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3
Sightseeing boat and writing equation
  • mathgeek7365
  • · Replies 1 ·
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1
Undergrad Calculating the Volume of a Rotated Solid Using Calculus
  • anthonybommarito1
  • · Replies 6 ·
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6
Graduate Area of a sector is the integral of arc length?
  • 24forChromium
  • · Replies 2 ·
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2
What is the solution to the integral without an equation?
  • karush
  • · Replies 4 ·
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4
Undergrad Is ln(x) differentiable at negative x-axis
  • Miraj Kayastha
  • · Replies 4 ·
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4
Graduate The point of the Euler-Lagrange equation?
  • NihalRi
  • · Replies 5 ·
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5
Graduate Difficult Integral Question: Need Help Solving LaTeX Code
  • Utilite
  • · Replies 2 ·
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2
Solving for $k$: $\pi\int_{-1}^{1} u\left(x\right)^2 \,dx = 6\pi$
  • karush
  • · Replies 5 ·
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5
High School Why can "dx" in integration be multiplied?
  • Kelly333
  • · Replies 9 ·
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9
Undergrad Approximating θ/2 as θ for small angles: Is the error significant?
  • physics user1
  • · Replies 1 ·
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1
Graduate Can the Nabla Operator Be Applied Before Inversion in Tensor Calculations?
  • Compengineering
  • · Replies 1 ·
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1
Particle Velocity at Instaneous Rest: 3${t}^{2}-{t}^{2}+C$
  • karush
  • · Replies 6 ·
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6
Particle Velocity: Find $|v(2)|$ & $s(2)$
  • karush
  • · Replies 3 ·
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3
High School Simplifying Trigonometric Antiderivative using Right Triangles?
  • OmniNewton
  • · Replies 3 ·
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3
Graduate Greeks, Circles, Small Straight lines and Calculus
  • observer1
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4
Undergrad Odd/Even functions and integration of them
  • FaraDazed
  • · Replies 2 ·
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2
Confirming $\arcsin(-\sin(\frac{3\pi}{2}))$
  • Guest2
  • · Replies 1 ·
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1
A particle traveling in a strainght line passes a fixed point O
  • karush
  • · Replies 3 ·
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3
Please help me in reading a mathematical handwriting
  • Evin Baxter
  • · Replies 8 ·
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8
How do I differentiate $\cos(x+y)$?
  • Guest2
  • · Replies 4 ·
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4
Graduate Implications of varying the definition of the derivative?
  • japplepie
  • · Replies 5 ·
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5
Why is $U_n$ greater than $\frac{A}{n}$ for large enough values of $n$?
  • ognik
  • · Replies 4 ·
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4